Dynamical interaction of solitary, periodic, rogue type wave solutions and multi-soliton solutions of the nonlinear models

被引：19

作者：

Roshid, Md. Mamunur ^{[1
,4
]}

Abdeljabbar, Alrazi ^{[2
]}

Aldurayhim, A. ^{[5
]}

Rahman, M. M. ^{[4
]}

Or-Roshid, Harun ^{[3
]}

Alshammari, Fahad Sameer ^{[5
]}

机构：

[1] Hamdard Univ Bangladesh, Dept Math, Dhaka, Bangladesh

[2] Khalifa Univ, Dept Math, Abu Dhabi, U Arab Emirates

[3] Pabna Univ Sci & Technol, Dept Math, Pabna 6600, Bangladesh

[4] Bangladesh Univ Engn & Technol, Dept Math, Dhaka, Bangladesh

[5] Prince Sattam bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

来源：

HELIYON | 2022年 / 8卷 / 12期

关键词：

New modified simple equation method; Phi4; model; Klein-Gordon model; Multiple waves; Interaction solution; EQUATION;

D O I：

10.1016/j.heliyon.2022.e11996

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This study presents a modification form of modified simple equation method, namely new modified simple equation method. Multiple waves and interaction of soliton solutions of the Phi-4 and Klein-Gordon models are investigated via the scheme. Consequently, we derive various novels and more general interaction, and multiple wave solutions in term of exponential, hyperbolic, and trigonometric, rational function solutions combining with some free parameters. Taking special values of the free parameters, interaction of two dark bells, interaction of two bright bells, two kinks, two periodic waves, kink and soliton, kink-rogue wave solutions are obtained which is the key significance of this method. Properties of the achieved solutions have many useful descriptions of physical behavior, correlated to the solutions are attained in this work through plentiful 3D figures, density plot and 2D contour plots. The results derived may increase the prospect of performing significant experimentations and carry out probable applications.

引用

页数：9

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